Respuesta :

Answer:

The value of y is -2

Therefore the given point (8,y) becomes (8,-2)

Step-by-step explanation:

Step-by-step explanation:

Given that the line through the points (8, y) and (9, 1) and slope m is 3

To find y to the line through the points (8, y) and (9, 1) :

The formula for slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let [tex](x_1,y_1)[/tex] , [tex](x_2,y_2)[/tex] be the given points (8, y) and (9, 1) respectively

Now substitute the values of the points and m=3 in the formula

[tex]3=\frac{1-y}{9-8}[/tex]

[tex]3=\frac{1-y}{1}[/tex]

[tex]3=1-y[/tex]

[tex]3-(1-y)=1-y-(1-y)[/tex]

[tex]3-1+y=1-y-1+y[/tex]

[tex]2+y=0[/tex] ( adding the like terms )

[tex]2+y-2=0-2[/tex]

Therefore y=-2

Therefore the value of y is -2

Therefore the given point (8,y) becomes (8,-2)

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